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A135701 First differences of indices of A000043. +0
1
1, 1, 1, 2, 1, 1, 3, 7, 6, 4, 3, 67, 13, 96, 121, 11, 116, 128, 19, 594, 30, 131, 897, 181, 156, 2033, 3760, 2105, 1842, 6961, 41453, 7556, 28716, 9974, 108217, 3031, 256669, 402707 (list; graph; listen)
OFFSET

1,4

COMMENT

Also, first differences of A016027.

This sequence is related to the perfect numbers A000396 and the Mersenne primes A000668.

LINKS

A. Booker, The Nth Prime Page".

FORMULA

a(n) = index of A000043(n+1) - index of A000043(n) = Pi(A000043(n+1)) - Pi(A000043(n)) = A016027(n+1) - A016027(n).

EXAMPLE

a(16)=11 because A000043(16+1)=2281 is the 339 n-th prime, then A16027(16+1)=339 and A000043(16)=2203 is the 328 n-th prime, then A16027(16)=328 and we can write 339-328=11.

CROSSREFS

Cf. A000043, A016027, A000396, A000668.

Sequence in context: A025243 A144512 A159314 this_sequence A051467 A077385 A066013

Adjacent sequences: A135698 A135699 A135700 this_sequence A135702 A135703 A135704

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Mar 02 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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